Math Is Fun Forum

EMPhillips1989

Member

Registered: 2008-01-21

Posts: 40

differentiation

the function

where

and

im trying to solve the second derivative of this function in terms of x and y

does anyone know whether im suppose to change to polar coordinates or can it be solved in this form??
im not sure how to convert this into polar form?
please help!!!

Last edited by EMPhillips1989 (2008-02-18 06:53:41)

Ricky

Moderator

Registered: 2005-12-04

Posts: 3,791

Re: differentiation

Look into using the chain rule (general form).

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"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

JaneFairfax

Member

Registered: 2007-02-23

Posts: 6,868

Re: differentiation

Which second derivative? There are three second partial derivatives for f:

.

(In general there would be four second partial derivatives, but if f is continuous in both variables,

.)

EMPhillips1989

Member

Registered: 2008-01-21

Posts: 40

Re: differentiation

what im trying to do is prove that

EMPhillips1989

Member

Registered: 2008-01-21

Posts: 40

Re: differentiation

so far what i've done is:

now im a little lost as to what to do now